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Finding the Fourth Proportional to 9,695.69, 13,380.47 and 5,504.33

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Solution

The fourth proportional to 9,695.69, 13,380.47 and 5,504.33 is: 7,596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.69 : 13,380.47 = 5,504.33 : x
  2. Step 2: Convert to fraction form
    9,695.69/13,380.47 = 5,504.33/x
  3. Step 3: Cross multiply
    9,695.69x = 13,380.47 × 5,504.33
  4. Step 4: Simplify right side
    9,695.69x = 73,650,522.44
  5. Step 5: Solve for x
    x = 73,650,522.44/9,695.69
  6. Step 6: Final answer
    x = 7,596.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.